Against the Jets, Green-Ellis has 254 rushing yards and four touchdowns in four career games.

The Jets are thin at running back, with Shonn Greene the lone established ball-carrier currently on the team's roster. Veteran LaDainian Tomlinson is a free agent.

NFL Network insider Jason La Canfora previously reported that Green-Ellis had visited with the Bengals and was in talks to return to the Patriots. La Canfora also had reported that an unnamed third team had been interested, and suggested the Jets; Tuesday's report seems to confirm that the Jets are that team.